Contests in Higher Mathematics: Miklós Schweitzer Competitions 1962-1991 / Edition 1
  • Contests in Higher Mathematics: Miklós Schweitzer Competitions 1962-1991 / Edition 1
  • Contests in Higher Mathematics: Miklós Schweitzer Competitions 1962-1991 / Edition 1

Contests in Higher Mathematics: Miklós Schweitzer Competitions 1962-1991 / Edition 1

by Gabor J Szekely
     
 

One of the most effective ways to stimulate students to enjoy intellectual efforts is the scientific competition. In 1894 the Hungarian Mathematical and Physical Society introduced a mathematical competition for high school students. The success of high school competitions led the Mathematical Society to found a college level contest, named after Miklós… See more details below

Overview

One of the most effective ways to stimulate students to enjoy intellectual efforts is the scientific competition. In 1894 the Hungarian Mathematical and Physical Society introduced a mathematical competition for high school students. The success of high school competitions led the Mathematical Society to found a college level contest, named after Miklós Schweitzer. The problems of the Schweitzer Contests are proposed and selected by the most prominent Hungarian mathematicians. This book collects the problems posed in the contests between 1962 and 1991 which range from algebra, combinatorics, theory of functions, geometry, measure theory, number theory, operator theory, probability theory, topology, to set theory. The second part contains the solutions. The Schweitzer competition is one of the most unique in the world. The experience shows that this competition helps to identify research talents. This collection of problems and solutions in several fields in mathematics can serve as a guide for many undergraduates and young mathematicians. The large variety of research level problems might be of interest for more mature mathematicians and historians of mathematics as well.

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Product Details

ISBN-13:
9780387945880
Publisher:
Springer New York
Publication date:
12/06/1995
Series:
Problem Books in Mathematics Series
Edition description:
1996
Pages:
570
Product dimensions:
9.21(w) x 6.14(h) x 1.31(d)

Table of Contents

Preface
Ch. 1Problems of the Contests1
Ch. 2Results of the Contests49
Ch. 3Solutions to the Problems55
3.1Algebra55
3.2Combinatorics121
3.3Theory of Functions150
3.4Geometry244
3.5Measure Theory330
3.6Number Theory362
3.7Operators388
3.8Probability Theory404
3.9Sequences and Series465
3.10Topology517
3.11Set Theory552
Index of Names565

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